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SUMMARY:Dimers and embeddings
DTSTART;VALUE=DATE-TIME:20190425T123000Z
DTEND;VALUE=DATE-TIME:20190425T133000Z
DTSTAMP;VALUE=DATE-TIME:20200813T024458Z
UID:indico-event-3843@indico.math.cnrs.fr
DESCRIPTION:One of the main questions in the context of the universality a
nd conformal invariance of a critical 2D lattice model is to find an embed
ding which geometrically encodes the weights of the model and that admits
“nice” discretizations of Laplace and Cauchy-Riemann operators.\n\n
We establish a correspondence between dimer models on a bipartite graph
and circle patterns with the combinatorics of that graph. We describe how
to construct a circle pattern embedding of a dimer planar graph using its
Kasteleyn weights. This embedding is the generalization of the isoradial
embedding and it is closely related to the T-graph embedding.\n\n Bas
ed on:\n\n“Dimers and Circles” joint with R. Kenyon\, W. Lam\, S. Rama
ssamy\;\n“Holomorphic functions on t-embeddings of planar graphs” join
t with D. Chelkak\, B. Laslier.\n\nhttps://indico.math.cnrs.fr/event/3843/
LOCATION:ENS Lyon 435
URL:https://indico.math.cnrs.fr/event/3843/
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